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Matem. Mod., 2012, Volume 24, Number 4, Pages 80–94 (Mi mm3260)  

This article is cited in 4 scientific papers (total in 4 papers)

Applications of high order differenses in aerodynamical simulations

A. D. Savel'ev

Dorodnicyn Computing Centre of the Russian Academy of Sciences

Abstract: The differential schemes based on symmetrical compact differences of 6th and 8th order of accuracy and characteristically directed diffusing operators are considered. Their spectral properties are analyzed and possibility of improvement of dissipative characteristics is investigated. For the description of viscous members of equations the differences of a high order also are used. Some problems of compressible gas, including a non-stationary flow of a symmetric aerodynamic profile in a subsonic laminar stream are considered.

Keywords: numerical simulation, high-accuracy compact schemes, Navier–Stokes equations, laminar and turbulent viscous gas flows, acoustic noise of airfoil.

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English version:
Mathematical Models and Computer Simulations, 2012, 4:6, 541–551

Bibliographic databases:

UDC: 519.634
Received: 01.06.2011

Citation: A. D. Savel'ev, “Applications of high order differenses in aerodynamical simulations”, Matem. Mod., 24:4 (2012), 80–94; Math. Models Comput. Simul., 4:6 (2012), 541–551

Citation in format AMSBIB
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\by A.~D.~Savel'ev
\paper Applications of high order differenses in aerodynamical simulations
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 4
\pages 80--94
\mathnet{http://mi.mathnet.ru/mm3260}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3026835}
\elib{http://elibrary.ru/item.asp?id=21276748}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 6
\pages 541--551
\crossref{https://doi.org/10.1134/S2070048212060099}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910016116}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. D. Savel'ev, “The use of high-order composite compact schemes for computing supersonic jet interaction with a surface”, Comput. Math. Math. Phys., 53:10 (2013), 1558–1570  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. A. D. Savel'ev, “Multioperator representation of composite compact schemes”, Comput. Math. Math. Phys., 54:10 (2014), 1522–1535  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. A. D. Savelev, “O raznostnykh skhemakh 18-go i 22-go poryadkov dlya uravnenii s konvektivnymi i diffuznymi chlenami”, Matem. modelirovanie, 29:6 (2017), 35–47  mathnet  elib
    4. D. A. Shirobokov, “Third-order accurate conservative method on unstructured meshes for gasdynamic simulations”, Comput. Math. Math. Phys., 57:4 (2017), 661–679  mathnet  crossref  crossref  mathscinet  isi  elib
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